# 1152

## 1,152 is an even composite number composed of two prime numbers multiplied together.

What does the number 1152 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 24 divisors.

1152 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1152:

### 27 × 32

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3)

See below for interesting mathematical facts about the number 1152 from the Numbermatics database.

### Names of 1152

• Cardinal: 1152 can be written as One thousand, one hundred fifty-two.

### Scientific notation

• Scientific notation: 1.152 × 103

### Factors of 1152

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 5

### Divisors of 1152

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 3315
• Sum of proper divisors (its aliquot sum) s(n): 2163
• 1152 is an abundant number, because the sum of its proper divisors (2163) is greater than itself. Its abundance is 1011

### Bases of 1152

• Binary: 100100000002
• Base-36: W0

### Squares and roots of 1152

• 1152 squared (11522) is 1327104
• 1152 cubed (11523) is 1528823808
• The square root of 1152 is 33.9411254967
• The cube root of 1152 is 10.4829655769

### Scales and comparisons

How big is 1152?
• 1,152 seconds is equal to 19 minutes, 12 seconds.
• To count from 1 to 1,152 would take you about nineteen minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 1152 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1152

• 1152 backwards is 2511
• 1152 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1152's digits is 9
• More coming soon!